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102101332230131 = 13169942831079311
BaseRepresentation
bin10111001101110001010001…
…101000110111111111110011
3111101111210101101122000200012
4113031301101220313333303
5101340312012022331011
61001052412101045135
730335402123323553
oct2715612150677763
9441453341560605
10102101332230131
112a594a282a42a3
12b54bb096b67ab
1344c81641caab0
141b2da33633163
15bc0d53941a8b
hex5cdc51a37ff3

102101332230131 has 16 divisors (see below), whose sum is σ = 110045788070400. Its totient is φ = 94169832037920.

The previous prime is 102101332230011. The next prime is 102101332230167. The reversal of 102101332230131 is 131032233101201.

It is a cyclic number.

It is not a de Polignac number, because 102101332230131 - 226 = 102101265121267 is a prime.

It is a super-2 number, since 2×1021013322301312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102101332230097 and 102101332230106.

It is not an unprimeable number, because it can be changed into a prime (102101332230181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94058966 + ... + 95138276.

It is an arithmetic number, because the mean of its divisors is an integer number (6877861754400).

Almost surely, 2102101332230131 is an apocalyptic number.

102101332230131 is a deficient number, since it is larger than the sum of its proper divisors (7944455840269).

102101332230131 is a wasteful number, since it uses less digits than its factorization.

102101332230131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085306.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 102101332230131 its reverse (131032233101201), we get a palindrome (233133565331332).

The spelling of 102101332230131 in words is "one hundred two trillion, one hundred one billion, three hundred thirty-two million, two hundred thirty thousand, one hundred thirty-one".

Divisors: 1 13 1699 4283 22087 55679 1079311 7276817 14031043 94598621 1833749389 4622689013 23838742057 60094957169 7853948633087 102101332230131